A single-phase amorphous-silicon steel combined core magnetization analysis method, system and device
Patent Information
- Application Number
- CN202310394994.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2023-04-14
- Publication Date
- 2026-10-16
- Estimated Expiration
- 2043-04-14
AI Technical Summary
由于软磁材料的非线性磁化特性,通过建立组合铁心的等效磁阻网络计算磁通密度分布将出现在饱和阶段不收敛的情况,导致目前对组合铁心的磁化机理分析结果不够准确
[0043] This invention establishes equivalent circuit and equivalent magnetic circuit models based on the structural parameters of a single-phase amorphous-silicon steel composite core. Based on the Jiles-Atherton hysteresis model, and according to the hysteresis loops of the amorphous and silicon steel cores, the differential permeability of both is determined. Then, based on the equivalent circuit and magnetic circuit models, and the differential permeability of the amorphous and silicon steel cores, an equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite core is established. This model is then used to solve for the excitation current and magnetic flux density distribution of the single-phase amorphous-silicon steel composite core. By establishing the equivalent circuit-magnetic circuit coupling model and considering the hysteresis effect, the excitation current and magnetic flux density distribution can be accurately solved, thereby improving the accuracy of the magnetization analysis results of the single-phase amorphous-silicon steel composite core.
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Abstract
Description
Technical Field
[0001] This invention relates to the field of transformers, and in particular to a method, system and equipment for magnetization analysis of single-phase amorphous-silicon steel composite cores. Background Technology
[0002] Amorphous cores and silicon steel cores are two commonly used transformer core types. Amorphous cores have the advantage of low no-load loss, but suffer from high vibration and noise, poor short-circuit withstand capability, and low operating magnetic flux density. Silicon steel cores, on the other hand, have the advantages of low vibration and noise, strong short-circuit withstand capability, and high operating magnetic flux density, but suffer from high no-load loss. In other words, current core designs cannot simultaneously achieve low no-load loss, low vibration and noise, and high short-circuit withstand capability. Assembling amorphous cores and silicon steel cores to form an amorphous-silicon steel composite core can combine the advantages of both types.
[0003] Due to the difference in permeability between amorphous and silicon steel, two soft magnetic materials, although the external magnetic flux characteristics of the composite core exhibit a sinusoidal change during magnetization, the magnetic flux density distribution within the composite core is non-sinusoidal for both amorphous and silicon steel. Because of the nonlinear magnetization characteristics of soft magnetic materials, calculating the magnetic flux density distribution by establishing an equivalent magnetoresistance network for the composite core will fail to converge in the saturation stage, leading to inaccurate current analyses of the magnetization mechanism of the composite core. Furthermore, the hysteresis effect is a crucial characteristic of core magnetization; incorporating this effect into the circuit-magnetic coupling model is essential for accurately calculating the excitation current and magnetic flux density distribution of the composite core. Summary of the Invention
[0004] The purpose of this invention is to provide a method, system, and equipment for magnetization analysis of single-phase amorphous-silicon steel composite cores, which can improve the accuracy of magnetization analysis results of single-phase amorphous-silicon steel composite cores.
[0005] To achieve the above objectives, the present invention provides the following solution:
[0006] A method for magnetization analysis of a single-phase amorphous-silicon steel composite core, wherein the single-phase amorphous-silicon steel composite core includes an excitation coil, an amorphous core, and a silicon steel core, the excitation coil bypassing the amorphous core and the silicon steel core, and the method for magnetization analysis of the single-phase amorphous-silicon steel composite core includes:
[0007] Obtain the structural parameters of the single-phase amorphous-silicon steel composite core, the hysteresis loop of the amorphous core, and the hysteresis loop of the silicon steel core;
[0008] Based on the structural parameters, an equivalent circuit model and an equivalent magnetic circuit model of the single-phase amorphous silicon steel composite core are established.
[0009] The loop voltage equation of the single-phase amorphous-silicon steel composite core under open-circuit conditions is determined based on the equivalent circuit model.
[0010] The magnetic field equation of the single-phase amorphous silicon steel composite core is determined based on the equivalent magnetic circuit model.
[0011] Based on the Jiles-Atherton hysteresis model, the differential permeability of the amorphous iron core and the silicon steel core are determined by particle swarm optimization algorithm according to the hysteresis loop of the amorphous iron core and the hysteresis loop of the silicon steel core.
[0012] Based on the loop voltage equation, the magnetic field equation, the differential permeability of the amorphous iron core, and the differential permeability of the silicon steel core, the equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite iron core is determined.
[0013] The equivalent circuit-magnetic circuit coupling model is solved to determine the excitation current and magnetic flux density distribution of the single-phase amorphous silicon steel composite core.
[0014] Optionally, the loop voltage equation is:
[0015]
[0016] Where u is the excitation voltage, R is the resistance of the excitation coil, i is the excitation current, L is the leakage inductance, t is time, N is the number of turns of the excitation coil, and S... t B represents the total cross-sectional area of a single-phase amorphous silicon steel composite core. m The magnetic flux density is that of a single-phase amorphous silicon steel composite core.
[0017] Optionally, the magnetic field equation is:
[0018] H A l A =Ni;
[0019] H S l S =Ni;
[0020] Among them, H A H represents the magnetic field strength of the amorphous iron core. S For the magnetic field strength of the silicon steel core, l A l is the magnetic circuit length of the amorphous iron core. A =2(H-2D)+2(W-2D)+Dπ,l S l is the magnetic circuit length of the silicon steel core. S=2(HD)+2(WD), where H is the height of the single-phase amorphous-silicon steel composite core, W is the thickness of the single-phase amorphous-silicon steel composite core, D is the yoke width of the single-phase amorphous-silicon steel composite core, i is the excitation current, and N is the number of turns of the excitation coil.
[0021] Alternatively, the Jiles-Atherton hysteresis model is:
[0022]
[0023] Where M is the magnetization, H is the height of the single-phase amorphous silicon steel composite core, and c is the reversible magnetization coefficient. an The magnetization is hysteresis-free. M s denoted as saturation magnetization, a as the shape factor of the hysteresis-free magnetization curve, k as the irreversible loss coefficient, δ as the direction factor, and H as the saturation magnetization. e For the effective magnetic field strength, H e =H+αM, where α is the average field coefficient of coupling within the magnetic domain.
[0024] Optionally, based on the Jiles-Atherton hysteresis model, and according to the hysteresis loops of the amorphous iron core and the silicon steel core, a particle swarm optimization algorithm is used to determine the differential permeability of the amorphous iron core and the silicon steel core, specifically including:
[0025] Based on the hysteresis loops of the amorphous iron core and the silicon iron core, the unknown parameter values of the Jiles-Atherton hysteresis model are extracted using the particle swarm optimization algorithm. The unknown parameter values include saturation magnetization, shape factor of the hysteresis-free magnetization curve, average field coefficient of intradomain coupling, irreversible loss coefficient, and reversible magnetization coefficient.
[0026] Based on the Jiles-Atherton hysteresis model and the unknown parameter values, the differential permeability of the amorphous iron core and the differential permeability of the silicon steel core are determined according to the nonlinear constitutive relationship between the amorphous iron core and the silicon steel core.
[0027] Optionally, the equivalent circuit-magnetic circuit coupling model is:
[0028]
[0029] Where i is the excitation current, t is the time, L is the leakage inductance, N is the number of turns of the excitation coil, and S... A Let l be the cross-sectional area of the amorphous iron core. A B is the magnetic circuit length of the amorphous iron core. A H represents the magnetic flux density of the amorphous iron core. A The magnetic field strength of the amorphous iron core. S is the differential permeability of the amorphous iron core. S Let l be the cross-sectional area of the silicon steel core. S B is the magnetic circuit length of the silicon steel core. S H is the magnetic flux density of a silicon steel core. S The magnetic field strength of the silicon steel core, U is the differential permeability of the silicon steel core, u is the excitation voltage, and R is the resistance of the excitation coil.
[0030] Optionally, the equivalent circuit-magnetic circuit coupling model is solved using the fourth-order Runge-Kutta algorithm to determine the excitation current and magnetic flux density distribution of the single-phase amorphous-silicon steel composite core.
[0031] To achieve the above objectives, the present invention also provides the following solution:
[0032] A magnetization analysis system for a single-phase amorphous-silicon steel composite core includes:
[0033] The data acquisition unit is used to acquire the structural parameters of the single-phase amorphous-silicon steel composite core, the hysteresis loop of the amorphous core, and the hysteresis loop of the silicon steel core.
[0034] An electromagnetic model building unit, connected to the data acquisition unit, is used to build an equivalent circuit model and an equivalent magnetic circuit model of the single-phase amorphous-silicon steel composite core based on the structural parameters.
[0035] The voltage equation determination unit, connected to the electromagnetic model establishment unit, is used to determine the loop voltage equation of the single-phase amorphous-silicon steel composite core under open-circuit conditions based on the equivalent circuit model.
[0036] The magnetic field equation determination unit is connected to the electromagnetic model establishment unit and is used to determine the magnetic field equation of the single-phase amorphous silicon steel composite core based on the equivalent magnetic circuit model.
[0037] The differential permeability determination unit, connected to the data acquisition unit, is used to determine the differential permeability of the amorphous iron core and the silicon steel core based on the Jiles-Atherton hysteresis model, according to the hysteresis loop of the amorphous iron core and the hysteresis loop of the silicon steel core, using a particle swarm optimization algorithm.
[0038] The coupling model establishment unit is connected to the voltage equation determination unit, the magnetic field equation determination unit, and the differential permeability determination unit, respectively, and is used to determine the equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite core based on the loop voltage equation, the magnetic field equation, the differential permeability of the amorphous core, and the differential permeability of the silicon steel core.
[0039] The solution unit, connected to the coupling model establishment unit, is used to solve the equivalent circuit-magnetic circuit coupling model to determine the excitation current and magnetic flux density distribution of the single-phase amorphous-silicon steel composite core.
[0040] To achieve the above objectives, the present invention also provides the following solution:
[0041] An electronic device includes a memory and a processor, the memory storing a computer program, and the processor running the computer program to enable the electronic device to perform the above-described magnetization analysis method for a single-phase amorphous-silicon steel composite core.
[0042] According to specific embodiments provided by the present invention, the present invention discloses the following technical effects:
[0043] This invention establishes equivalent circuit and equivalent magnetic circuit models based on the structural parameters of a single-phase amorphous-silicon steel composite core. Based on the Jiles-Atherton hysteresis model, and according to the hysteresis loops of the amorphous and silicon steel cores, the differential permeability of both is determined. Then, based on the equivalent circuit and magnetic circuit models, and the differential permeability of the amorphous and silicon steel cores, an equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite core is established. This model is then used to solve for the excitation current and magnetic flux density distribution of the single-phase amorphous-silicon steel composite core. By establishing the equivalent circuit-magnetic circuit coupling model and considering the hysteresis effect, the excitation current and magnetic flux density distribution can be accurately solved, thereby improving the accuracy of the magnetization analysis results of the single-phase amorphous-silicon steel composite core. Attached Figure Description
[0044] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0045] Figure 1 A three-dimensional structural diagram of a single-phase silicon steel composite core;
[0046] Figure 2 This is a front view of a single-phase silicon steel composite core.
[0047] Figure 3 Left view of a single-phase silicon steel composite core;
[0048] Figure 4 This is a top view of a single-phase silicon steel composite core.
[0049] Figure 5This is a flowchart of the magnetization analysis method for single-phase amorphous-silicon steel composite core of the present invention;
[0050] Figure 6 A schematic diagram of the no-load equivalent circuit model of a single-phase amorphous silicon steel composite core;
[0051] Figure 7 A schematic diagram of the equivalent magnetic circuit model of a single-phase amorphous silicon steel composite core;
[0052] Figure 8 The hysteresis loop of an amorphous iron core;
[0053] Figure 9 The hysteresis loop of a silicon steel core;
[0054] Figure 10 The graph shows the calculated excitation current of a single-phase amorphous silicon steel composite core.
[0055] Figure 11 The magnetic flux density distribution of a single-phase amorphous silicon steel composite core is shown in the figure.
[0056] Figure 12 The result is a diagram showing the magnetic flux density distribution of the amorphous iron core.
[0057] Figure 13 The result is a graph showing the magnetic flux density distribution of a silicon steel core.
[0058] Figure 14 This is a schematic diagram of the module of the single-phase amorphous-silicon steel composite core magnetization analysis system of the present invention.
[0059] Symbol explanation:
[0060] Silicon iron core-11, Amorphous iron core-12, Excitation coil-13, Data acquisition unit-21, Electromagnetic model establishment unit-22, Voltage equation determination unit-23, Magnetic field equation determination unit-24, Differential permeability determination unit-25, Coupled model establishment unit-26, Solution unit-27. Detailed Implementation
[0061] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0062] The purpose of this invention is to provide a method, system, and equipment for magnetization analysis of single-phase amorphous-silicon steel composite cores. By establishing an equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite core and considering the hysteresis effect in the model, the accuracy of the magnetization analysis results of the single-phase amorphous-silicon steel composite core is improved.
[0063] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
[0064] Example 1
[0065] like Figures 1 to 4 As shown, the single-phase silicon steel composite core includes an excitation coil 13, an amorphous core 12, and a silicon steel core 11. The excitation coil 13 passes around the amorphous core 12 and the silicon steel core 11.
[0066] like Figure 5 As shown, this embodiment provides a method for magnetization analysis of a single-phase amorphous-silicon steel composite core, including:
[0067] S1: Obtain the structural parameters of the single-phase amorphous-silicon steel composite core, the hysteresis loop of the amorphous core, and the hysteresis loop of the silicon steel core.
[0068] S2: Based on the structural parameters, establish the equivalent circuit model and equivalent magnetic circuit model of the single-phase amorphous-silicon steel composite core. Specifically, as follows... Figure 6 As shown, this invention establishes an unloaded equivalent circuit model based on the structure of a single-phase amorphous silicon steel composite core. In the figure, R... A For the resistance of the amorphous iron core, R S For the resistance of a silicon steel core, Φ A Φ is the magnetic flux of the amorphous iron core. S The magnetic flux of the silicon steel core.
[0069] S3: Determine the loop voltage equation of the single-phase amorphous-silicon steel composite core under open-circuit conditions based on the equivalent circuit model.
[0070] Specifically, according to Kirchhoff's Voltage Law (KVL), the voltage loop equations of the circuit's equivalent model can be obtained:
[0071]
[0072]
[0073] Combining formulas (1) and (2), and Φ m =B m S t The loop voltage equation for a single-phase amorphous-silicon steel composite core under open-circuit conditions can be obtained:
[0074]
[0075] Where u is the excitation voltage, R is the resistance of the excitation coil, i is the excitation current, L is the leakage inductance, t is the time, e is the magnetomotive force, and Φ m Where S is the magnetic flux, N is the number of turns of the excitation coil, and S is the magnetic flux. t S represents the total cross-sectional area of a single-phase amorphous silicon steel composite core. t =S A +S S S A =K A DW A S S =K S DW S D is the yoke width of the single-phase amorphous-silicon steel composite core, and S A S is the cross-sectional area of the amorphous iron core. S W is the cross-sectional area of the silicon steel core. A For the thickness of the amorphous iron core, W S For the thickness of the silicon steel core, K A K is the lamination factor for amorphous iron cores. S K is the stacking factor of the silicon steel core. In this embodiment, K A =0.86, K S =0.97, B m The magnetic flux density of a single-phase amorphous silicon steel composite core is given. U is the effective value of the excitation voltage, and f is the excitation frequency.
[0076] S4: Determine the magnetic field equation of the single-phase amorphous silicon steel composite core based on the equivalent magnetic circuit model.
[0077] Specifically, as can be seen from the combined core structure, the excitation coil passes around both the amorphous core and the silicon steel core. Therefore, the amorphous core and the silicon steel core are equivalent to parallel magnetic circuits, and their equivalent magnetic circuit model is as follows: Figure 7 As shown, based on this equivalent magnetic circuit model, the magnetic field equation can be obtained according to Ampere's circuital law:
[0078] H A l A =Ni; (4)
[0079] H S l S =Ni; (5)
[0080] Among them, H A H represents the magnetic field strength of the amorphous iron core. S For the magnetic field strength of the silicon steel core, l A l is the magnetic circuit length of the amorphous iron core. A=2(H-2D)+2(W-2D)+Dπ,l S l is the magnetic circuit length of the silicon steel core. S =2(HD)+2(WD), where H is the height of the single-phase amorphous-silicon steel composite core, D is the width of the yoke of the single-phase amorphous-silicon steel composite core, W is the thickness of the single-phase amorphous-silicon steel composite core, i is the excitation current, and N is the number of turns of the excitation coil.
[0081] According to the flux continuity theorem, we can obtain: B m S t =B A S A +B S S S Among them, B A B is the magnetic flux density of the amorphous iron core. S denoted as , where is the magnetic flux density of the silicon steel core.
[0082] S5: Based on the Jiles-Atherton hysteresis model, the differential permeability of the amorphous iron core and the silicon steel core are determined by particle swarm optimization algorithm according to the hysteresis loop of the amorphous iron core and the hysteresis loop of the silicon steel core.
[0083] In this embodiment, the Jiles-Atherton hysteresis model is used to characterize the differential permeability of the amorphous iron core and the silicon iron core, and its expression is:
[0084]
[0085] Where M is the magnetization, H is the height of the single-phase amorphous silicon steel composite core, and c is the reversible magnetization coefficient. an The magnetization is hysteresis-free. M s H is the saturation magnetization, a is the shape factor of the hysteresis-free magnetization curve, k is the irreversible loss coefficient, and δ is the direction factor. When dH / dt > 0, δ = 1; when dH / dt < 0, δ = -1. e For the effective magnetic field strength, H e =H+αM, where α is the average field coefficient of coupling within the magnetic domain.
[0086] Further, S5 includes: extracting unknown parameter values of the Jiles-Atherton hysteresis model using a particle swarm optimization algorithm based on the hysteresis loops of the amorphous iron core and the silicon iron core; the unknown parameter values include the saturation magnetization M. s The shape factor *a* of the hysteresis-free magnetization curve, the average field coefficient α of intradomain coupling, the irreversible loss coefficient *k*, and the reversible magnetization coefficient *c* are considered. The hysteresis loop of an amorphous iron core is shown below. Figure 8 As shown, the hysteresis loop of a silicon steel core is as follows: Figure 9 As shown.
[0087] Based on the Jiles-Atherton hysteresis model and the unknown parameter values, the differential permeability of the amorphous iron core and the differential permeability of the silicon steel core are determined according to the nonlinear constitutive relationship between the amorphous iron core and the silicon steel core.
[0088] Specifically, based on the nonlinear constitutive relation B=μ0(H+M) of soft magnetic materials (amorphous or steel rails), we can obtain:
[0089]
[0090] Where B is the magnetic flux density of the soft magnetic material (amorphous or steel rail), and μ0 is the permeability in vacuum.
[0091] S6: Based on the loop voltage equation, the magnetic field equation, the differential permeability of the amorphous core, and the differential permeability of the silicon steel core, determine the equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite core.
[0092] The equivalent circuit-magnetic circuit coupling model established in this invention is as follows:
[0093]
[0094] Where i is the excitation current, t is the time, L is the leakage inductance, N is the number of turns of the excitation coil, and S... A Let l be the cross-sectional area of the amorphous iron core. A B is the magnetic circuit length of the amorphous iron core. A H represents the magnetic flux density of the amorphous iron core. A The magnetic field strength of the amorphous iron core. S is the differential permeability of the amorphous iron core. S Let l be the cross-sectional area of the silicon steel core. S B is the magnetic circuit length of the silicon steel core. S H is the magnetic flux density of a silicon steel core. S The magnetic field strength of the silicon steel core, U is the differential permeability of the silicon steel core, u is the excitation voltage, and R is the resistance of the excitation coil.
[0095] S7: Solve the equivalent circuit-magnetic circuit coupling model to determine the excitation current and magnetic flux density distribution of the single-phase amorphous-silicon steel composite core. In this embodiment, the fourth-order Runge-Kutta algorithm is used to solve the equivalent circuit-magnetic circuit coupling model.
[0096] To better understand the solution of this invention, the solution process of the fourth-order Runge-Kutta algorithm for the equivalent circuit-magnetic circuit coupling model is described in detail below.
[0097] (1) Set the initial value i of the excitation current. 0 At the initial value of the j-th time step (where j = 0), set the iteration time step size Δt, and let...
[0098] (2) Calculate the parameter h1 at the j-th time step:
[0099] h1=f(t,i j f() is the equivalent circuit-magnetic circuit coupling model.
[0100] (3) Calculate the parameter h2 at the j-th time step:
[0101]
[0102] (4) Calculate the parameter h3 at the j-th time step:
[0103]
[0104] (5) Calculate the parameter h4 at the j-th time step:
[0105] h4=f(t+Δt,i j +Δt·h3).
[0106] (6) Calculate the excitation current value at the (j+1)th time step:
[0107]
[0108] (7) Take the excitation current value of the (j+1)th time step as the new initial value, repeat (2)-(6), calculate the excitation current value of the next time step, and stop the calculation when the preset time is reached.
[0109] The excitation current is finally obtained by solving the problem in this invention, such as Figure 10 As shown, based on the calculation results of the excitation current, combined with the calculation formula of magnetic flux density, the magnetic field equation, and the equivalent circuit-magnetic circuit coupling model, the partial magnetic flux density distribution results of each part of the single-phase amorphous-silicon steel composite core are calculated, as follows: Figures 11 to 13 As shown.
[0110] This invention can accurately solve the excitation current of a single-phase amorphous-silicon steel composite core, and on this basis calculate the magnetic flux density distribution of the composite core, thereby guiding the assessment of composite core loss, noise and structural design.
[0111] Example 2
[0112] In order to perform the method corresponding to Embodiment 1 above and achieve the corresponding functions and technical effects, a single-phase amorphous-silicon steel composite core magnetization analysis system is provided below.
[0113] like Figure 14 As shown, the single-phase amorphous-silicon steel composite core magnetization analysis system provided in this embodiment includes: a data acquisition unit 21, an electromagnetic model establishment unit 22, a voltage equation determination unit 23, a magnetic field equation determination unit 24, a differential permeability determination unit 25, a coupling model establishment unit 26, and a solution unit 27.
[0114] The data acquisition unit 21 is used to acquire the structural parameters of the single-phase amorphous-silicon steel composite core, the hysteresis loop of the amorphous core, and the hysteresis loop of the silicon steel core.
[0115] The electromagnetic model building unit 22 is connected to the data acquisition unit 21. The electromagnetic model building unit 22 is used to build the equivalent circuit model and equivalent magnetic circuit model of the single-phase amorphous-silicon steel composite core based on the structural parameters.
[0116] The voltage equation determination unit 23 is connected to the electromagnetic model establishment unit 22. The voltage equation determination unit 23 is used to determine the loop voltage equation of the single-phase amorphous-silicon steel composite core under open circuit conditions based on the equivalent circuit model.
[0117] The magnetic field equation determination unit 24 is connected to the electromagnetic model establishment unit 22. The magnetic field equation determination unit 24 is used to determine the magnetic field equation of the single-phase amorphous silicon steel composite core according to the equivalent magnetic circuit model.
[0118] The differential permeability determination unit 25 is connected to the data acquisition unit 21. The differential permeability determination unit 25 is used to determine the differential permeability of the amorphous iron core and the silicon steel core based on the Jiles-Atherton hysteresis model, according to the hysteresis loop of the amorphous iron core and the hysteresis loop of the silicon steel core, using a particle swarm optimization algorithm.
[0119] The coupling model establishment unit 26 is connected to the voltage equation determination unit 23, the magnetic field equation determination unit 24, and the differential permeability determination unit 25, respectively. The coupling model establishment unit 26 is used to determine the equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite core based on the loop voltage equation, the magnetic field equation, the differential permeability of the amorphous core, and the differential permeability of the silicon steel core.
[0120] The solution unit 27 is connected to the coupling model establishment unit 26. The solution unit 27 is used to solve the equivalent circuit-magnetic circuit coupling model to determine the excitation current and magnetic flux density distribution of the single-phase amorphous-silicon steel composite core.
[0121] Compared with the prior art, the single-phase amorphous-silicon steel composite core magnetization analysis system provided in this embodiment has the same beneficial effects as the single-phase amorphous-silicon steel composite core magnetization analysis method provided in Embodiment 1, and will not be repeated here.
[0122] Example 3
[0123] This embodiment provides an electronic device, including a memory and a processor. The memory is used to store computer programs, and the processor runs the computer programs to enable the electronic device to perform the single-phase amorphous-silicon steel composite core magnetization analysis method of Embodiment 1.
[0124] Alternatively, the aforementioned electronic device may be a server.
[0125] In addition, embodiments of the present invention also provide a computer-readable storage medium storing a computer program that, when executed by a processor, implements the magnetization analysis method for a single-phase amorphous-silicon steel composite core of Embodiment 1.
[0126] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on the differences from other embodiments. The same or similar parts between the various embodiments can be referred to each other.
[0127] This document uses specific examples to illustrate the principles and implementation methods of the present invention. The descriptions of the above embodiments are only for the purpose of helping to understand the method and core ideas of the present invention. Furthermore, those skilled in the art will recognize that, based on the ideas of the present invention, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of the present invention.
Claims
1. A method for magnetization analysis of a single-phase amorphous-silicon steel composite core, wherein the single-phase amorphous-silicon steel composite core comprises an excitation coil, an amorphous core, and a silicon steel core, the excitation coil bypassing the amorphous core and the silicon steel core, characterized in that, The magnetization analysis method for the single-phase amorphous-silicon steel composite core includes: Obtain the structural parameters of the single-phase amorphous-silicon steel composite core, the hysteresis loop of the amorphous core, and the hysteresis loop of the silicon steel core; Based on the structural parameters, an equivalent circuit model and an equivalent magnetic circuit model of the single-phase amorphous silicon steel composite core are established. The loop voltage equation of the single-phase amorphous-silicon steel composite core under open-circuit conditions is determined based on the equivalent circuit model. The magnetic field equation of the single-phase amorphous silicon steel composite core is determined based on the equivalent magnetic circuit model. Based on the Jiles-Atherton hysteresis model, the differential permeability of the amorphous iron core and the silicon steel core are determined by particle swarm optimization algorithm according to the hysteresis loop of the amorphous iron core and the hysteresis loop of the silicon steel core. Based on the loop voltage equation, the magnetic field equation, the differential permeability of the amorphous iron core, and the differential permeability of the silicon steel core, the equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite iron core is determined. The equivalent circuit-magnetic circuit coupling model is solved to determine the excitation current and magnetic flux density distribution of the single-phase amorphous silicon steel composite core.
2. The magnetization analysis method for single-phase amorphous-silicon steel composite core according to claim 1, characterized in that, The circuit voltage equation is: Where u is the excitation voltage, R is the resistance of the excitation coil, i is the excitation current, L is the leakage inductance, t is time, N is the number of turns of the excitation coil, and S... t B represents the total cross-sectional area of a single-phase amorphous silicon steel composite core. m The magnetic flux density is that of a single-phase amorphous silicon steel composite core.
3. The magnetization analysis method for a single-phase amorphous-silicon steel composite core according to claim 1, characterized in that, The equation for the magnetic field is: H A l A =In; H S l S =In; Among them, H A H represents the magnetic field strength of the amorphous iron core. S For the magnetic field strength of the silicon steel core, l A l is the magnetic circuit length of the amorphous iron core. A =2(H-2D)+2(W-2D)+Dπ,l S l is the magnetic circuit length of the silicon steel core. S =2(HD)+2(WD), where H is the height of the single-phase amorphous-silicon steel composite core, W is the thickness of the single-phase amorphous-silicon steel composite core, D is the yoke width of the single-phase amorphous-silicon steel composite core, i is the excitation current, and N is the number of turns of the excitation coil.
4. The magnetization analysis method for single-phase amorphous-silicon steel composite core according to claim 1, characterized in that, The Jiles-Atherton hysteresis model is: Where M is the magnetization, H is the height of the single-phase amorphous silicon steel composite core, and c is the reversible magnetization coefficient. an The magnetization is hysteresis-free. M s denoted as saturation magnetization, a as the shape factor of the hysteresis-free magnetization curve, k as the irreversible loss coefficient, δ as the direction factor, and H as the saturation magnetization. e For the effective magnetic field strength, H e =H+αM, where α is the average field coefficient of coupling within the magnetic domain.
5. The magnetization analysis method for a single-phase amorphous-silicon steel composite core according to claim 4, characterized in that, Based on the Jiles-Atherton hysteresis model, and according to the hysteresis loops of the amorphous iron core and the silicon steel core, the differential permeability of the amorphous iron core and the silicon steel core is determined using a particle swarm optimization algorithm. Specifically, this includes: Based on the hysteresis loops of the amorphous iron core and the silicon iron core, the unknown parameter values of the Jiles-Atherton hysteresis model are extracted using the particle swarm optimization algorithm. The unknown parameter values include saturation magnetization, shape factor of the hysteresis-free magnetization curve, average field coefficient of intradomain coupling, irreversible loss coefficient, and reversible magnetization coefficient. Based on the Jiles-Atherton hysteresis model and the unknown parameter values, the differential permeability of the amorphous iron core and the differential permeability of the silicon steel core are determined according to the nonlinear constitutive relationship between the amorphous iron core and the silicon steel core.
6. The magnetization analysis method for a single-phase amorphous-silicon steel composite core according to claim 1, characterized in that, The equivalent circuit-magnetic circuit coupling model is as follows: Where i is the excitation current, t is the time, L is the leakage inductance, N is the number of turns of the excitation coil, and S... A Let l be the cross-sectional area of the amorphous iron core. A B is the magnetic circuit length of the amorphous iron core. A H represents the magnetic flux density of the amorphous iron core. A The magnetic field strength of the amorphous iron core. S is the differential permeability of the amorphous iron core. S Let l be the cross-sectional area of the silicon steel core. S B is the magnetic circuit length of the silicon steel core. S H is the magnetic flux density of a silicon steel core. S The magnetic field strength of the silicon steel core, U is the differential permeability of the silicon steel core, u is the excitation voltage, and R is the resistance of the excitation coil.
7. The magnetization analysis method for a single-phase amorphous-silicon steel composite core according to claim 1, characterized in that, The equivalent circuit-magnetic circuit coupling model is solved using the fourth-order Runge-Kutta algorithm to determine the excitation current and magnetic flux density distribution of the single-phase amorphous-silicon steel composite core.
8. A magnetization analysis system for a single-phase amorphous-silicon steel composite core, applied to the magnetization analysis method for a single-phase amorphous-silicon steel composite core as described in any one of claims 1-7, characterized in that, The single-phase amorphous-silicon steel composite core magnetization analysis system includes: The data acquisition unit is used to acquire the structural parameters of the single-phase amorphous-silicon steel composite core, the hysteresis loop of the amorphous core, and the hysteresis loop of the silicon steel core. An electromagnetic model building unit, connected to the data acquisition unit, is used to build an equivalent circuit model and an equivalent magnetic circuit model of the single-phase amorphous-silicon steel composite core based on the structural parameters. The voltage equation determination unit, connected to the electromagnetic model establishment unit, is used to determine the loop voltage equation of the single-phase amorphous-silicon steel composite core under open-circuit conditions based on the equivalent circuit model. The magnetic field equation determination unit is connected to the electromagnetic model establishment unit and is used to determine the magnetic field equation of the single-phase amorphous silicon steel composite core based on the equivalent magnetic circuit model. The differential permeability determination unit, connected to the data acquisition unit, is used to determine the differential permeability of the amorphous iron core and the silicon steel core based on the Jiles-Atherton hysteresis model, according to the hysteresis loop of the amorphous iron core and the hysteresis loop of the silicon steel core, using a particle swarm optimization algorithm. The coupling model establishment unit is connected to the voltage equation determination unit, the magnetic field equation determination unit, and the differential permeability determination unit, respectively, and is used to determine the equivalent circuit-magnetic circuit coupling model of the single-phase amorphous-silicon steel composite core based on the loop voltage equation, the magnetic field equation, the differential permeability of the amorphous core, and the differential permeability of the silicon steel core. The solution unit, connected to the coupling model establishment unit, is used to solve the equivalent circuit-magnetic circuit coupling model to determine the excitation current and magnetic flux density distribution of the single-phase amorphous-silicon steel composite core.
9. An electronic device, characterized in that, The device includes a memory and a processor, the memory being used to store a computer program, and the processor running the computer program to cause the electronic device to perform the magnetization analysis method for a single-phase amorphous-silicon steel composite core as described in any one of claims 1 to 7.